Methods2026 NHT Exam 2 Section A · Q7CAS active1 mark
Interval containing a solution of f(x) + g(x) = 0 from graphs
Consider the continuous functions and , whose graphs are drawn to scale below.
There is a value of for which within the interval
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![Graphs of y = f(x) and y = g(x) on [0, 2] drawn to scale on a grid from y = -1 to 1. f decreases from about (0, 0.45) through an x-intercept near 1.4 to about (2, -0.45); g increases from about (0, -0.72) through an x-intercept near 0.6 to about (2, 0.72); the curves cross near x = 0.9.](https://wigywztjdsvtfcepvqfi.supabase.co/storage/v1/object/sign/question-assets/vcaa/2026-nht-methods-2/a07_1.png?token=eyJraWQiOiJlMDZjMGRlYS1jMGUyLTQ1YTctYTkyZC1iMDU5ZjM3ZGEyMzEiLCJhbGciOiJFUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1hc3NldHMvdmNhYS8yMDI2LW5odC1tZXRob2RzLTIvYTA3XzEucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5NDI1ODc5MiwiZXhwIjoxNzk0MjU5MzkyfQ.sBh3cE3jhABZ76B26prYOHB8i9zZ8zEZCdADTUgmEBmQ4b8eY_V5Toj8ZK77IYc62rLMVzNwn-oRPV0ZJ-2jtA)